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Finding the Third Proportional to 223,899.19 and 468,559.69

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Solution

The third proportional to 223,899.19 and 468,559.69 is: 980,567.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,899.19 : 468,559.69 = 468,559.69 : x
  2. Step 2: Convert to fraction form
    223,899.19/468,559.69 = 468,559.69/x
  3. Step 3: Cross multiply
    223,899.19x = 468,559.69 × 468,559.69
  4. Step 4: Simplify right side
    223,899.19x = 219,548,180,750.10
  5. Step 5: Solve for x
    x = 219,548,180,750.10/223,899.19
  6. Step 6: Final answer
    x = 980,567.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.